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Simplifying (29b + -7) + -7(4b + 3) = -6 Reorder the terms: (-7 + 29b) + -7(4b + 3) = -6 Remove parenthesis around (-7 + 29b) -7 + 29b + -7(4b + 3) = -6 Reorder the terms: -7 + 29b + -7(3 + 4b) = -6 -7 + 29b + (3 * -7 + 4b * -7) = -6 -7 + 29b + (-21 + -28b) = -6 Reorder the terms: -7 + -21 + 29b + -28b = -6 Combine like terms: -7 + -21 = -28 -28 + 29b + -28b = -6 Combine like terms: 29b + -28b = 1b -28 + 1b = -6 Solving -28 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 1b = -6 + 28 Combine like terms: -28 + 28 = 0 0 + 1b = -6 + 28 1b = -6 + 28 Combine like terms: -6 + 28 = 22 1b = 22 Divide each side by '1'. b = 22 Simplifying b = 22
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